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Show that if the roots of the polynomial p are all real, then the roots of p' are all real. If, in addition, the roots of p are all simple, then the roots of p' are all simple.
If f(x)=e^x , show that the remainder term in Taylorâ??s Theorem converges to zero as n--> infinity.
The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 75 feet per second is a function of the time (t) and is given by the equation h(t) = 75t - 16t^2.
Problem on profit & loss
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
Find how any different passwords are possible.
Solve the following Polynomials
Quadratic function using integers.
Problems on time and distance.
Use the properties of logarithms to find the value.
Solve the equation algebraically.
In one year 5,293 delivers were made. One delivery takes 30 minutes. If this task was eliminated how much time would be saved per week?
Compute the discriminant of the quadratic equation 3x^2+x+2=0, then write a brief sentence describing the number and type of solutions for this equation.
Profit & loss problem of one variable quadratic equation.
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